2. give the coordinates of points a, b, c, d, and e on the following coordinate plane and give the quadrant in which each point is located.

point coordinates quadrant
a
b
c
d
e

Question

2. give the coordinates of points a, b, c, d, and e on the following coordinate plane and give the quadrant in which each point is located.

point coordinates quadrant
a
b
c
d
e

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Coordinate Quadrants", "Ordered Pairs" ], "new_concepts": [], "current_concepts": [ "Coordinate Quadrants", "Ordered Pairs" ] } ## Identify coordinates of each point Using the *Ordered Pairs* knowledge point $$ \begin{aligned} &\text{Point } A: (-4, 7)\ &\text{Point } B: (3, 6)\ &\text{Point } C: (6, -5)\ &\text{Point } D: (-6, -2)\ &\text{Point } E: (-2, 5) \end{aligned} $$ ## Determine the quadrant for each point Using the *Coordinate Quadrants* knowledge point $$ \begin{aligned} &\text{Quadrant I: } (+, +) \implies B(3, 6) \in \text{Quadrant I}\ &\text{Quadrant II: } (-, +) \implies A(-4, 7), E(-2, 5) \in \text{Quadrant II}\ &\text{Quadrant III: } (-, -) \implies D(-6, -2) \in \text{Quadrant III}\ &\text{Quadrant IV: } (+, -) \implies C(6, -5) \in \text{Quadrant IV} \end{aligned} $$ | Point | Coordinates | Quadrant | | :---: | :---: | :---: | | A | $(-4, 7)$ | II | | B | $(3, 6)$ | I | | C | $(6, -5)$ | IV | | D | $(-6, -2)$ | III | | E | $(-2, 5)$ | II | { "elements": [ { "type": "point", "params": [[-4, 7]], "properties": { "name": "A(-4, 7)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[3, 6]], "properties": { "name": "B(3, 6)", "size": 4, "color": "#5583F2", "withLabel": true } }, { "type": "point", "params": [[6, -5]], "properties": { "name": "C(6, -5)", "size": 4, "color": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[-6, -2]], "properties": { "name": "D(-6, -2)", "size": 4, "color": "#F28A55", "withLabel": true } }, { "type": "point", "params": [[-2, 5]], "properties": { "name": "E(-2, 5)", "size": 4, "color": "#55DDF2", "withLabel": true } }, { "type": "text", "params": [5, 5, "Quadrant I"], "properties": { "color": "gray" } }, { "type": "text", "params": [-8, 5, "Quadrant II"], "properties": { "color": "gray" } }, { "type": "text", "params": [-8, -5, "Quadrant III"], "properties": { "color": "gray" } }, { "type": "text", "params": [5, -5, "Quadrant IV"], "properties": { "color": "gray" } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Quadrants" ] }

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QUESTION IMAGE

Question

Explanation:

Identify coordinates of each point

Determine the quadrant for each point

Answer:

Point	Coordinates	Quadrant
B	\((3, 6)\)	I
C	\((6, -5)\)	IV
D	\((-6, -2)\)	III
E	\((-2, 5)\)	II